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100124413144 = 23719739722861
BaseRepresentation
bin101110100111111100…
…0010100110011011000
3100120102211202011222221
41131033320110303120
53120023322210034
6113555125353424
710143114320020
oct1351770246330
9316384664887
10100124413144
113950a691588
12174a3568874
1395985202a2
144bbb7a8a80
152910112bb4
hex174fe14cd8

100124413144 has 64 divisors (see below), whose sum is σ = 216194045760. Its totient is φ = 42583242240.

The previous prime is 100124413139. The next prime is 100124413157. The reversal of 100124413144 is 441314421001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4368274 + ... + 4391134.

It is an arithmetic number, because the mean of its divisors is an integer number (3378031965).

Almost surely, 2100124413144 is an apocalyptic number.

100124413144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100124413144 is an abundant number, since it is smaller than the sum of its proper divisors (116069632616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100124413144 is a wasteful number, since it uses less digits than its factorization.

100124413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23468 (or 23464 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100124413144 its reverse (441314421001), we get a palindrome (541438834145).

The spelling of 100124413144 in words is "one hundred billion, one hundred twenty-four million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 197 394 397 788 794 1379 1576 1588 2758 2779 3176 5516 5558 11032 11116 22232 22861 45722 78209 91444 156418 160027 182888 312836 320054 547463 625672 640108 1094926 1280216 2189852 4379704 4503617 9007234 9075817 18014468 18151634 31525319 36028936 36303268 63050638 63530719 72606536 126101276 127061438 252202552 254122876 508245752 1787935949 3575871898 7151743796 12515551643 14303487592 25031103286 50062206572 100124413144